Find the length of each side of a rhombus whose diagonals are 24 cm and 10 cm long.
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It is known that the diagonals of a rhombus meet at right angles. If the lengths of the diagonals are 10cm and 24cm respectively, and they bisect each other at right angles, then we have a right angle triangle with sides 5 and 12 respectively. We now need to find the hypotenuse.
Thus, the side of the rhombus will be sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169). Thus, the side of the rhombus is 13.
Thus, the side of the rhombus will be sqrt(5^2 + 12^2) = sqrt(25 + 144) = sqrt(169). Thus, the side of the rhombus is 13.
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Step-by-step explanation:
hence each side is 13 cm
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